630400 has 48 divisors (see below), whose sum is σ = 1565190. Its totient is φ = 250880.

The previous prime is 630391. The next prime is 630433. The reversal of 630400 is 4036.

It can be written as a sum of positive squares in 3 ways, for example, as 602176 + 28224 = 776^2 + 168^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3102 + ... + 3298.

2⁶³⁰⁴⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782595).

630400 is an abundant number, since it is smaller than the sum of its proper divisors (934790).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

630400 is a wasteful number, since it uses less digits than its factorization.

630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 630400 is about 793.9773296512. The cubic root of 630400 is about 85.7443280934.

Adding to 630400 its reverse (4036), we get a palindrome (634436).

The spelling of 630400 in words is "six hundred thirty thousand, four hundred".